Reichard, Klaus \(C^\infty\)-diffeomorphismen semianalytischer und subanalytischer Mengen. (German) Zbl 0507.32004 Compos. Math. 42, 401-416 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 32B20 Semi-analytic sets, subanalytic sets, and generalizations 32C05 Real-analytic manifolds, real-analytic spaces 26E05 Real-analytic functions 26E10 \(C^\infty\)-functions, quasi-analytic functions Keywords:semianalytic set; subanalytic set; embedding dimension; real affine spaces; real analytically diffeomorphic Citations:Zbl 0297.32008 PDFBibTeX XMLCite \textit{K. Reichard}, Compos. Math. 42, 401--416 (1981; Zbl 0507.32004) Full Text: Numdam EuDML References: [1] M. Artin : On the solutions of analytic equations . Inv. Math. 5 (1968) 277-291. · Zbl 0172.05301 · doi:10.1007/BF01389777 [2] T. Bloom : C’ functions on a complex analytic variety . Duke Math. J. 36 (1969) 283-296. · Zbl 0176.38102 · doi:10.1215/S0012-7094-69-03637-0 [3] P.M. Eakin and G.A. Harris : When \Phi (f) convergent implies f is convergent . Math. Ann. 229 (1977) 201-210. · Zbl 0355.13010 · doi:10.1007/BF01391465 [4] R. Ephraim : The cartesian product structure and C\infty equivalence of singularities . Trans AMS 224 (1976) 299-311. · Zbl 0354.32006 · doi:10.2307/1997477 [5] A.M. Gabriélov : Formal relations between analytic functions . Funct. Anal. Appl. 5 (1971) 318-319. · Zbl 0254.32009 · doi:10.1007/BF01086744 [6] H. Hironaka : Subanalytic sets. Number Theory, Alg. Geom. and Comm. Alg. in honour of Y. Akizuki , Tokyo (1973) 453-493. · Zbl 0297.32008 [7] S. Lojasiewicz : Ensembles sémi-analytiques. polycopie . IHES (1965). [8] B. Malgrange : Sur les fonctions différentiables et les ensembles analytiques . Bull. Soc. Math. France 91 (1963) 113-127. · Zbl 0113.06302 · doi:10.24033/bsmf.1592 [9] B. Malgrange : Ideals of differentiable functions . Oxford University Press (1966). · Zbl 0177.17902 [10] A. Sard : The measure of critical values of differentiable maps . Bull. AMS 48 (1942) 883-890. · Zbl 0063.06720 · doi:10.1090/S0002-9904-1942-07811-6 [11] K. Spallek : Über Singularitäten analytischer Mengen . Math. Ann. 172 (1967) 249-268. · Zbl 0195.09401 · doi:10.1007/BF01351193 [12] K. Spallek : Differenzierbare Räume . Math. Ann. 180 (1969) 269-296. · Zbl 0169.52901 · doi:10.1007/BF01351881 [13] K. Spallek : l- Platte Funktionen auf semianalytischen Mengen . Math. Ann. 227 (1977) 277-286. · Zbl 0333.32025 · doi:10.1007/BF01361860 [14] J.C. Tougeron : Idéaux de fonctions différentiables . Erg. d. Math. 71. Springer (1972). · Zbl 0251.58001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.